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TensorFlock
A small functional tensor language with Einstein summation notation convention and shape-checking at compile-time.
I'm late to comment, but Halide, a C++ DSL for fast numerical computations, uses element-wise notation:
Dex from DeepMind have it natively. TensorComprehensions is also cool.
I tried this a few years ago for a school project. It was he first language I ever designed and way too ambitious but here it is https://github.com/laurenarnett/TensorFlock
There are some libraries and macros for Einstein notation and related ideas, like TensorOperations.jl in Julia, einsum in numpy which someone already mentioned, and some small-scale/research languages like Diderot and Egison. In the mainstream, I guess languages generally use for loops or list comprehensions and try to recover vectorisation from that after the fact, but don’t guarantee it. Those that do make guarantees tend to use combinators that are matrixwise/function-level. I admit I pretty much categorically prefer the latter so I’m not as aware of the state of this as I’d like to be able to help.